W.H. Baker left Ithaca early 1887 and returned to Syracuse to work with his brother Dr. Ellis Baker at the Syracuse Forging Co., which soon became the Syracuse Forging & Gun Co. They manufactured a trigger-plate hammer gun designed by A.C. McFarland, Patent No. 370,966 called the "New Baker Gun."
After the factory in Syracuse burned in the summer of 1888, they moved to Batavia and late changed the name to the Baker Gun & Forging Co. Note the invoice above is dated Feb. 1889.
Courtesy of Don Hardin and Daryl Hallquist, the "New Baker" was manufactured 1889-1897; SNs 1 - 45,000. Yours would then be about the 2nd year of production.